The Analyst: A Monthly Journal of Pure and Applied Mathematics, Volumes 3-4Pierson & Blair, 1876 |
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Page 13
... positions of A and B from O be represent- ed by a and u respectively , and let the re- lation between x and u be expressed by the equation u = b + ax " , any · ( 1 ) in which a and b are constants . When n = 1 , B will move uniformly ...
... positions of A and B from O be represent- ed by a and u respectively , and let the re- lation between x and u be expressed by the equation u = b + ax " , any · ( 1 ) in which a and b are constants . When n = 1 , B will move uniformly ...
Page 56
... position of the common plane of the orbits of the satellites of Uranus with reference to the ecliptic is given by the following inclination and longitude of ascending node i = 97 ° .850 ° .013 T , 0165 ° .48 + 1 ° .40 T. And a denoting ...
... position of the common plane of the orbits of the satellites of Uranus with reference to the ecliptic is given by the following inclination and longitude of ascending node i = 97 ° .850 ° .013 T , 0165 ° .48 + 1 ° .40 T. And a denoting ...
Page 58
... position of four circles b , c , b1 , c1 of given magnitude , that touch each other consecutively , so that a circle ... positions of the two places of observation y and m , with reference to three known points A , B and C , having ...
... position of four circles b , c , b1 , c1 of given magnitude , that touch each other consecutively , so that a circle ... positions of the two places of observation y and m , with reference to three known points A , B and C , having ...
Page 61
... position , = DCG angle between line of centres and vertical at time t , 01 , 02 = angular rotations of R and r about centres , a initial value of 0 , F = magnitude and direction of the resultant of the reaction between the spheres at ...
... position , = DCG angle between line of centres and vertical at time t , 01 , 02 = angular rotations of R and r about centres , a initial value of 0 , F = magnitude and direction of the resultant of the reaction between the spheres at ...
Page 62
... 1st : Because it may easily be shown , from a different course of reasoning , that , in certain positions , the spheres will roll in opposite directions ; SOLUTIONS OF PROBLEMS IN NUMBER ONE . SOLUTIONS of problems -62-
... 1st : Because it may easily be shown , from a different course of reasoning , that , in certain positions , the spheres will roll in opposite directions ; SOLUTIONS OF PROBLEMS IN NUMBER ONE . SOLUTIONS of problems -62-
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Common terms and phrases
5th degree a₁ algebraic ANALYST angle ARTEMAS MARTIN assumed axis b₁ C₁ circular coefficients common logarithms constant curve denote determine differential distance E. B. SEITZ ellipse Elliptic Functions equal equation expression factor formula function given circle gives hence hyperbola integral intersection inverse Lagrange's Theorem locus logarithms method multiply observations orbital orbital force ORSON PRATT oxen parabola parallel perpendicular plane points at infinity position probable error quadrics quadrilateral radius ratio reduce represent result roots sides SOLUTION BY PROF SOLUTIONS of problems sphere square substitution surface tangent Taylor's Theorem Theorem tion triangle UNION SPRINGS unknown quantities values velocity whence zero